报告问题 (Title)：奇异积分与几何

报告人 (Speaker)：韩永生 教授（美国奥本大学）

报告时间 (Time)：2023年12月22日 (周五) 13:00-16:00

报告所在 (Place)：校本部GJ303

约请人(Inviter)：赵发友 教授

主理部分：理学院数学系

报告摘要：In this talk, our focus will be on singular integral and the geometry that describe the singularities of the kernels of these operators, and which controls the releveant estimates that are made. The kind of geometry that arises is local in nature and is based on a distance = d(x, y). This metric controls what happens when y is near x. However, the exact size of d(x, y) is not crucial but what matters is the order of magnitude of d as y → x. We will describe how distants deduce the singular integrals in the Euclidean space; spaces of homogeneous type in the sense of Coifman and Weiss, and the Dunkl setting which is associated with finite reflection groups on the Euclidean space.